Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds.

Assume that is a rational homology sphere plumbed 3-manifold associated with a connected negative definite graph . We consider the combinatorial multivariable Poincaré series associated with and its counting functions, which encode rich topological information. Using the 'periodic constant' of the series (with reduced variables associated with an arbitrary subset of the set of vertices) we prove surgery formulae for the normalized Seiberg-Witten invariants: the periodic constant associated with appears as the difference of the Seiberg-Witten invariants of and for any .